---

＜電子ブック＞
Fractional Stochastic Differential Equations : Applications to Covid-19 Modeling / by Abdon Atangana, Seda İgret Araz
(Industrial and Applied Mathematics. ISSN:23646845)

版	1st ed. 2022.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2022
本文言語	英語
大きさ	XV, 540 p. 162 illus. in color : online resource
著者標目	*Atangana, Abdon author İgret Araz, Seda author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Stochastic processes LCSH:Calculus LCSH:Operator theory LCSH:Mathematics LCSH:Mathematical models LCSH:Numerical analysis FREE:Differential Equations FREE:Stochastic Calculus FREE:Operator Theory FREE:Applications of Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Numerical Analysis
一般注記	History on Covid-19 Spread -- Fractional Differential and Integral Operators -- Existence and Uniqueness for stochastic differential equations -- Numerical scheme for a general Stochastic equation with classical and fractional derivatives -- A simple SIR model of Covid-19 spread -- An application of SEIRD approach -- Modelling the transmission of Coronavirus with SEIR approach -- Modeling the spread of Covid-19 with a SIA IR IU approach: Inclusion of unreported infected class -- A comprehensive analysis of Covid-19 model -- Analysis of SEIARD model of Coronavirus transmission -- A mathematical model with Covid-19 reservoir -- A new model with asymptomatic and quarantined classes This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes HTTP:URL=https://doi.org/10.1007/978-981-19-0729-6

 類似資料